52x^3-122x^2+66x=0

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Solution for 52x^3-122x^2+66x=0 equation:


Simplifying
52x3 + -122x2 + 66x = 0

Reorder the terms:
66x + -122x2 + 52x3 = 0

Solving
66x + -122x2 + 52x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(33 + -61x + 26x2) = 0

Factor a trinomial.
2x((11 + -13x)(3 + -2x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(11 + -13x)' equal to zero and attempt to solve: Simplifying 11 + -13x = 0 Solving 11 + -13x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -13x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -13x = 0 + -11 -13x = 0 + -11 Combine like terms: 0 + -11 = -11 -13x = -11 Divide each side by '-13'. x = 0.8461538462 Simplifying x = 0.8461538462

Subproblem 3

Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5

Solution

x = {0, 0.8461538462, 1.5}

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